Yes and no!
Gerunds and present participles are known technically as homomorphs : that is, they share the same outward form (spelling & pronuncication), and a common etymology and form-class (both are regularly formed from verbs), but they differ to some extent functionally within that sphere of commonality, perhaps in terms of finiteness (as in infinitive 'go' vs. present tense 'go') or of mood (e.g. indicative 'go' vs. subjunctive 'go'), and so forth.
In the case of -ing forms (sometimes - but rather unwisely, in my view - termed 'gerund-participles'), the difference is rather more radical, since the gerund serves a primarily nominal (noun-like) function, while retaining some verbal powers, whereas the present participle serves a primarily adjectival function (whilst also retaining verbal powers).
Thus, in summary, although they could be said to be the same in one sense, in another they differ considerably!
Student or Learner